Least Common Multiple of 212 and 220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 212 and 220 the smallest integer that is 11660 that is divisible by both numbers.

Least Common Multiple (LCM) of 212 and 220 is 11660.

LCM(212,220) = 11660

LCM of 212 and 220

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 212 and 220

LCM of 212 and 220 is 11660

Least common multiple can be found by multiplying the highest exponent prime factors of 212 and 220. First we will calculate the prime factors of 212 and 220.

Prime Factorization of 212


2 212
2 106
53 53
1

Prime factors of 212 are 2,53. Prime factorization of 212 in exponential form is:

212 = 22×531

Prime Factorization of 220


2 220
2 110
5 55
11 11
1

Prime factors of 220 are 2, 5,11. Prime factorization of 220 in exponential form is:

220 = 22×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 212 and 220.

LCM(212,220) = 22×51×111×531
LCM(212,220) = 11660

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Least Common Multiple of 212 and 220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 212 and 220, than apply into the LCM equation.

GCF(212,220) = 4
LCM(212,220) = ( 212 × 220) / 4
LCM(212,220) = 46640 / 4
LCM(212,220) = 11660

Properties of LCM 212 and 220

(i) The LCM of 220 and 212 is associative

LCM of 212 and 220 = LCM of 220 and 212

Related Least Common Multiples of 212

Related Least Common Multiples of 220

Frequently Asked Questions on LCM of 212 and 220

1. What is the LCM of 212 and 220?

Answer: LCM of 212 and 220 is 11660.

2. What are the Factors of 212?

Answer: Factors of 212 are 1, 2, 4, 53, 106, 212. There are 6 integers that are factors of 212. The greatest factor of 212 is 212.

3. What are the Factors of 220?

Answer: Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. There are 12 integers that are factors of 220. The greatest factor of 220 is 220.

4. How to Find the LCM of 212 and 220?

Answer:

Least Common Multiple of 212 and 220 = 11660

Step 1: Find the prime factorization of 212

212 = 2 x 2 x 53

Step 2: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11660 = 2 x 2 x 5 x 11 x 53

Step 4: Therefore, the least common multiple of 212 and 220 is 11660.